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Article Dans Une Revue Journal of Differential Geometry Année : 2002

The geometry of finite topology Bryant surfaces quasi-embedded in a hyperbolic space

Résumé

We prove that a finite topology properly embedded Bryant surface in a complete hyperbolic 3-manifold has finite total curvature. This permits us to describe the geometry of the ends. We prove that the universal covering of these surfaces is an handlebody of H(3). when the ambient hyperbolic 3-manifold is hyperbolic "-space the theorems we prove were established By Collin-Hauswirth-Rosenberg
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Dates et versions

hal-00796834 , version 1 (05-03-2013)

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  • HAL Id : hal-00796834 , version 1

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Laurent Hauswirth, Pedro Roitman, Harold Rosenberg. The geometry of finite topology Bryant surfaces quasi-embedded in a hyperbolic space. Journal of Differential Geometry, 2002, 60, pp.55-101. ⟨hal-00796834⟩
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